The quantities of heat required to raise the temperatures of two copper spheres of radii $r_{1}$ and $r_{2}$ $(r_{1} = 1.5 r_{2})$ through $1 \ K$ are in the ratio of:

$50\,g$ of copper is heated to increase its temperature by $10\,^{\circ}C$. If the same quantity of heat is given to $10\,g$ of water,the rise in its temperature is ........ $^{\circ}C$. (Specific heat of copper $= 420\,J\,kg^{-1}\,^{\circ}C^{-1}$,Specific heat of water $= 4200\,J\,kg^{-1}\,^{\circ}C^{-1}$)

The specific heat capacity of a copper block of mass $M$ is $s$. If the mass of the copper block is doubled,the specific heat capacity will be

What is the molar specific heat capacity of a substance? Write its unit.

The specific heat capacity of a substance is temperature dependent and is given by the formula $C = kT$,where $k$ is a constant of suitable dimensions in $SI$ units,and $T$ is the absolute temperature. If the heat required to raise the temperature of $1 \ kg$ of the substance from $-73^{\circ} C$ to $27^{\circ} C$ is $nk$,the value of $n$ is. . . . . . [Given: $0 \ K = -273^{\circ} C$.]

The specific heat of a substance varies with temperature as $c = 0.20 + 0.14t + 0.023t^2 \, (cal/g \cdot ^\circ C)$. The amount of heat required to raise the temperature of $2 \, g$ of the substance from $5 \, ^\circ C$ to $15 \, ^\circ C$ is: (in $, cal$)